What is the Greatest Common Factor of 73566 and 73577?

Greatest common factor (GCF) of 73566 and 73577 is 1.

GCF(73566,73577) = 1

We will now calculate the prime factors of 73566 and 73577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73566 and 73577.

How to find the GCF of 73566 and 73577?

We will first find the prime factorization of 73566 and 73577. After we will calculate the factors of 73566 and 73577 and find the biggest common factor number .

Step-1: Prime Factorization of 73566

Prime factors of 73566 are 2, 3, 61, 67. Prime factorization of 73566 in exponential form is:

73566 = 2¹ × 3² × 61¹ × 67¹

Step-2: Prime Factorization of 73577

Prime factors of 73577 are 7, 23, 457. Prime factorization of 73577 in exponential form is:

73577 = 7¹ × 23¹ × 457¹

Step-3: Factors of 73566

List of positive integer factors of 73566 that divides 73566 without a remainder.

1, 2, 3, 6, 9, 18, 61, 67, 122, 134, 183, 201, 366, 402, 549, 603, 1098, 1206, 4087, 8174, 12261, 24522, 36783

Step-4: Factors of 73577

List of positive integer factors of 73577 that divides 73566 without a remainder.

1, 7, 23, 161, 457, 3199, 10511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73566 and 73577. The biggest common factor number is the GCF number.
So the greatest common factor 73566 and 73577 is 1.

Also check out the Least Common Multiple of 73566 and 73577